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Finding the Fourth Proportional to 1,742.02, 2,612.22 and 920.07

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Solution

The fourth proportional to 1,742.02, 2,612.22 and 920.07 is: 1,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.02 : 2,612.22 = 920.07 : x
  2. Step 2: Convert to fraction form
    1,742.02/2,612.22 = 920.07/x
  3. Step 3: Cross multiply
    1,742.02x = 2,612.22 × 920.07
  4. Step 4: Simplify right side
    1,742.02x = 2,403,421.81
  5. Step 5: Solve for x
    x = 2,403,421.81/1,742.02
  6. Step 6: Final answer
    x = 1,379.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.